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Numerical investigations of the elastic and plastic behaviour of an open-cell aluminium foam

机译：开孔泡沫铝的弹性和塑性行为的数值研究

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The elastic and plastic behaviour of an open-cell aluminium foam is investigated numerically. Finite element discretisations are used that have been derived from real foam specimens by computer tomography data. By different combinations of boundary velocities in the three directions in space, various multiaxial stress states are realised in the foam. This is done for nine foam discretisations with varying relative density. Thus, the elastic constants, the yield surface and the plastic potential of the foam are determined depending on the relative density. The results of the numerical simulations are: (1) the variation of the Young's modulus in terms of the relative density can be described by a power law relationship. (2) The elastic Poisson's ratio does not depend on the relative density. (3) The yield surface is not rotationally symmetric with regard to the hydrostatic axis. (4) The dimensions of the yield surface vary with a power law relationship in terms of the relative density. (5) The plastic potential is approximately associated to the yield surface for all stress states.
机译：数值研究了开孔铝泡沫的弹性和塑性行为。使用的有限元离散化是通过计算机断层扫描数据从真实的泡沫样品中得出的。通过在空间中的三个方向上的边界速度的不同组合，在泡沫中实现各种多轴应力状态。这是针对具有相对密度变化的九种泡沫离散进行的。因此，泡沫的弹性常数，屈服面和塑性势取决于相对密度。数值模拟的结果是：（1）杨氏模量相对密度的变化可以通过幂律关系来描述。 （2）弹性泊松比不取决于相对密度。 （3）屈服面相对于静水压轴不是旋转对称的。 （4）屈服面的尺寸根据相对密度的幂律关系而变化。 （5）对于所有应力状态，塑性势都与屈服面近似相关。

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